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Answer :

DE = AE

BA || CE CB || DA B = 116° E = ?

B and D = 116°

the angle next to D measures 180 - 116 = 64°

Angles inside the triangle ADE

Angle A = 64° and angle D = 64° because it is an isosceles triangle.

So E = 180 - A _ D

E = 180 - 64 - 64

E = 180 - 128

E = 52°